RESEARCH ANNOUNCEMENTS ON“MAXIMAL ERGODIC INEQUALITIES FOR SOME POSITIVE OPERATORS ON NONCOMMUTATIVE LP-SPACE”  

作　　者：HONG Gui-xiang RAY Samya Kumar WANG Si-meng 

机构地区：[1]School of Mathematics and Statistics,Wuhan university,Wuhan 430072,China [2]UniversiéParis-Saclay,CNRS,Laboratoire de mathématiques d’Orsay,Orsay 91405,France

出　　处：《数学杂志》2020年第6期631-637,共7页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11601396).

摘　　要：1 Introduction and Main Results In classical ergodic theory,one of the earliest pointwise ergodic convergence theorems was obtained by Birkhoff[1]in 1931.Dunford and Schwartz[2]greatly generalized the previous situation;they established the strong(p;p)maximal inequalities for all 1<p<∞ for time averages of positive L1-L∞ contractions and obtained the pointwise convergence result as a corollary.

关 键 词：CONVERGENCE SPACE MAXIMAL 

分 类 号：O178[理学—数学]